28635323625216 has 1728 divisors, whose sum is σ = 111099360153600. Its totient is φ = 6869753856000.

The previous prime is 28635323625113. The next prime is 28635323625277. The reversal of 28635323625216 is 61252632353682.

28635323625216 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 5 + 3 + 2 + 3 + 625 + 2 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27245787891 + ... + 27245788941.

It is an arithmetic number, because the mean of its divisors is an integer number (64293611200).

Almost surely, 2^{28635323625216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28635323625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55549680076800).

28635323625216 is an abundant number, since it is smaller than the sum of its proper divisors (82464036528384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28635323625216 is a wasteful number, since it uses less digits than its factorization.

28635323625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1289 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

Adding to 28635323625216 its reverse (61252632353682), we get a palindrome (89887955978898).

The spelling of 28635323625216 in words is "twenty-eight trillion, six hundred thirty-five billion, three hundred twenty-three million, six hundred twenty-five thousand, two hundred sixteen".